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20123204112 = 2433112616311
BaseRepresentation
bin10010101111011011…
…111011101000010000
31220221102100200112000
4102233123323220100
5312203020012422
613124450034000
71311446261364
oct225733735020
956842320460
1020123204112
11859702a100
123a97278900
131b8908408b
14d8c7d72a4
157cb9a5cac
hex4af6fba10

20123204112 has 240 divisors, whose sum is σ = 64540452480. Its totient is φ = 5997024000.

The previous prime is 20123204111. The next prime is 20123204267. The reversal of 20123204112 is 21140232102.

It is a happy number.

20123204112 is a `hidden beast` number, since 20 + 1 + 232 + 0 + 411 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20123204111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3185437 + ... + 3191747.

It is an arithmetic number, because the mean of its divisors is an integer number (268918552).

Almost surely, 220123204112 is an apocalyptic number.

20123204112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123204112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32270226240).

20123204112 is an abundant number, since it is smaller than the sum of its proper divisors (44417248368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20123204112 is a wasteful number, since it uses less digits than its factorization.

20123204112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20123204112 its reverse (21140232102), we get a palindrome (41263436214).

The spelling of 20123204112 in words is "twenty billion, one hundred twenty-three million, two hundred four thousand, one hundred twelve".